What is the Greatest Common Factor of 52944 and 52956?

Greatest common factor (GCF) of 52944 and 52956 is 12.

GCF(52944,52956) = 12

We will now calculate the prime factors of 52944 and 52956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52944 and 52956.

How to find the GCF of 52944 and 52956?

We will first find the prime factorization of 52944 and 52956. After we will calculate the factors of 52944 and 52956 and find the biggest common factor number .

Step-1: Prime Factorization of 52944

Prime factors of 52944 are 2, 3, 1103. Prime factorization of 52944 in exponential form is:

52944 = 2⁴ × 3¹ × 1103¹

Step-2: Prime Factorization of 52956

Prime factors of 52956 are 2, 3, 1471. Prime factorization of 52956 in exponential form is:

52956 = 2² × 3² × 1471¹

Step-3: Factors of 52944

List of positive integer factors of 52944 that divides 52944 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1103, 2206, 3309, 4412, 6618, 8824, 13236, 17648, 26472

Step-4: Factors of 52956

List of positive integer factors of 52956 that divides 52944 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1471, 2942, 4413, 5884, 8826, 13239, 17652, 26478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52944 and 52956. The biggest common factor number is the GCF number.
So the greatest common factor 52944 and 52956 is 12.

Also check out the Least Common Multiple of 52944 and 52956